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Super easy

Algebra Level 2

Let \(ab=1\) and define

\[ P=\frac{a}{a+1}+\frac{b}{b+1}\quad \text{ and }\quad Q=\frac{1}{a+1}+\frac{1}{b+1}.\]

What can we say about \(P\) and \(Q?\)

\[P>Q\] \[P<Q\] \[P=Q\] Answer is dependent on the values of \(a\) and \(b\)

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Excel in math and science

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by Tom Zhou

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